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Finding the Fourth Proportional to 412.25, 617.56 and 195.98

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Solution

The fourth proportional to 412.25, 617.56 and 195.98 is: 293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 617.56 = 195.98 : x
  2. Step 2: Convert to fraction form
    412.25/617.56 = 195.98/x
  3. Step 3: Cross multiply
    412.25x = 617.56 × 195.98
  4. Step 4: Simplify right side
    412.25x = 121,025.83
  5. Step 5: Solve for x
    x = 121,025.83/412.25
  6. Step 6: Final answer
    x = 293.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.